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3 years ago

13

A basketball team has scored 60 points in their first 5 games. If this trend were to continue, how many points would you expect

them to score in 9 games?

1 answer:

Vlad1618 [11]3 years ago

4 0

Answer:

108 points in 9 games!

Step-by-step explanation:

hope this helps!! :D

You might be interested in

Consider the given density curve.

Pavel [41]

We want to find the median for the given density curve.

The value of the median is 1.

Let's see how to solve this.

First, for a regular set {x₁, ..., xₙ} we define the median as the middle value. The difference between a set and a density curve is that the density curve is continuous, so getting the exact middle value can be harder.

Here, we have a constant density curve that goes from -1 to 3.

Because it is constant, the median will just be equal to the mean, thus the median is the average between the two extreme values.

Remember that the average between two numbers a and b is given by:

(a + b)/2

So we get:

m = (3 + (-1))/2 = 1

So we can conclude that the value of the median is 1, so the correct option is the second one, counting from the top.

If you want to learn more, you can read:

brainly.com/question/15857649

5 0

2 years ago

Richard has just been given an l0-question multiple-choice quiz in his history class. Each question has five answers, of which o

myrzilka [38]

Answer:

a) 0.0000001024 probability that he will answer all questions correctly.

b) 0.1074 = 10.74% probability that he will answer all questions incorrectly

c) 0.8926 = 89.26% probability that he will answer at least one of the questions correctly.

d) 0.0328 = 3.28% probability that Richard will answer at least half the questions correctly

Step-by-step explanation:

For each question, there are only two possible outcomes. Either he answers it correctly, or he does not. The probability of answering a question correctly is independent of any other question. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Each question has five answers, of which only one is correct

This means that the probability of correctly answering a question guessing is $p = \frac{1}{5} = 0.2$

10 questions.

This means that $n = 10$

A) What is the probability that he will answer all questions correctly?

This is $P(X = 10)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 10) = C_{10,10}.(0.2)^{10}.(0.8)^{0} = 0.0000001024$

0.0000001024 probability that he will answer all questions correctly.

B) What is the probability that he will answer all questions incorrectly?

None correctly, so $P(X = 0)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{10,0}.(0.2)^{0}.(0.8)^{10} = 0.1074$

0.1074 = 10.74% probability that he will answer all questions incorrectly

C) What is the probability that he will answer at least one of the questions correctly?

This is

$P(X \geq 1) = 1 - P(X = 0)$

Since $P(X = 0) = 0.1074$ , from item b.

$P(X \geq 1) = 1 - 0.1074 = 0.8926$

0.8926 = 89.26% probability that he will answer at least one of the questions correctly.

D) What is the probability that Richard will answer at least half the questions correctly?

This is

$P(X \geq 5) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 5) = C_{10,5}.(0.2)^{5}.(0.8)^{5} = 0.0264$

$P(X = 6) = C_{10,6}.(0.2)^{6}.(0.8)^{4} = 0.0055$

$P(X = 7) = C_{10,7}.(0.2)^{7}.(0.8)^{3} = 0.0008$

$P(X = 8) = C_{10,8}.(0.2)^{8}.(0.8)^{2} = 0.0001$

$P(X = 9) = C_{10,9}.(0.2)^{9}.(0.8)^{1} \approx 0$

$P(X = 10) = C_{10,10}.(0.2)^{10}.(0.8)^{0} \approx 0$

So

$P(X \geq 5) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.0264 + 0.0055 + 0.0008 + 0.0001 + 0 + 0 = 0.0328$

0.0328 = 3.28% probability that Richard will answer at least half the questions correctly

8 0

3 years ago

HELP PLEASE <br><br>must show work<br><br>

Setler79 [48]

Answer:

a) 4x -y = 2; (1/2, 0), (0, -2)

b) 3x +y = 5; (5/3, 0), (0, 5)

c) 5x -y = -3; (-3/5, 0), (0, 3)

d) x -y = 7; (7, 0), (0, -7)

e) 8x +y = -12; (-3/2, 0), (0, -12)

Step-by-step explanation:

The form you have is ...

y = -Ax +C . . . . . where B = 1

You can simply rearrange the coefficients to get the form you want.

For (a), you can identify -A = 4, so A = -4, and C = -2. In the desired form, the equation is then ...

-4x +y = -2

"Standard form" requires the leading coefficient be positive, so you now need to multiply the entire equation by -1:

4x -y = 2

I suspect either of the above answers will satisfy your grader, but I like the latter form better. So, the answers below have the equation multiplied by -1 when A is negative to start with.

Since the given equation is already in slope-intercept form, the y-intercept is read directly from the equation as C.

The x-intercept is the value C/A, where you do need to pay attention to the signs.

Again, for (a), the y-intercept is already known to be -2; the x-intercept is ...

C/A = -2/-4 = 2/4 = 1/2.

___

a) A=-4, C=-2, x-intercept = C/A = -2/-4 = 1/2, y-intercept = C = -2. Equation in standard form is 4x -y = 2

__

b) A=3, C=5, x-intercept = C/A = 5/3, y-intercept = C = 5. Equation in standard form is 3x+y=5

__

c) A=-5, C=3, x-intercept = C/A = 3/-5 = -5/3, y-intercept = C = 3. Equation in standard form is 5x -y = -3

__

d) A=-1, C=-7, x-intercept = C/A = -7/-1 = 7, y-intercept = C = -7. Equation in standard form is x -y = 7

__

e) A=8, C=-12, x-intercept = C/A = -12/8 = -3/2, y-intercept = C = -12. Equation in standard form is 8x +y = -12

5 0

3 years ago

Help please.! and thank you

Alexxx [7]

Answer:

common difference is 4

Step-by-step explanation:

12-4=8

8-4=4

8 0

2 years ago

What is the reciprical of 4/7?

Umnica [9.8K]

Answer:

7/4

Step-by-step explanation:

To find the reciprocal of 4/7, flip the fraction.

The numerator goes in the denominator and the denominator goes in the numerator

7/4

8 0

3 years ago

Read 2 more answers